134125824
134,125,824 is an even composite number composed of five prime numbers multiplied together.
134125824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 134125824:
28 × 3 × 7 × 61 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 61 × 409)See below for interesting mathematical facts about the number 134125824 from the Numbermatics database.
Names of 134125824
- Cardinal: 134125824 can be written as One hundred thirty-four million, one hundred twenty-five thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.34125824 × 108
Factors of 134125824
Divisors of 134125824
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 409 427 448 488 672 732 768 818 854 896 976 1227 1281 1344 1464 1636 1708 1792 1952 2454 2562 2688 2863 2928 3272 3416 3904 4908 5124 5376 5726 5856 6544 6832 7808 8589 9816 10248 11452 11712 13088 13664 15616 17178 19632 20496 22904 23424 24949 26176 27328 34356 39264 40992 45808 46848 49898 52352 54656 68712 74847 78528 81984 91616 99796 104704 109312 137424 149694 157056 163968 174643 183232 199592 274848 299388 314112 327936 349286 366464 399184 523929 549696 598776 698572 732928 798368 1047858 1099392 1197552 1397144 1596736 2095716 2198784 2395104 2794288 3193472 4191432 4790208 5588576 6386944 8382864 9580416 11177152 16765728 19160832 22354304 33531456 44708608 67062912 134125824
- Sum of all divisors σ(n): 415667840
- Sum of proper divisors (its aliquot sum) s(n): 281542016
- 134125824 is an abundant number, because the sum of its proper divisors (281542016) is greater than itself. Its abundance is 147416192
Bases of 134125824
- Binary: 1111111111010011001000000002
- Hexadecimal: 0x7FE9900
- Base-36: 27US5C
Squares and roots of 134125824
- 134125824 squared (1341258242) is 17989736663678976
- 134125824 cubed (1341258243) is 2412888253558953527476224
-
The
square root of 134125824 is 11581.2703966361 -
The
cube root of 134125824 is 511.8831113375
Scales and comparisons
How big is 134125824?- 134,125,824 seconds is equal to 4 years, 13 weeks, 5 days, 9 hours, 10 minutes, 24 seconds.
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To count from 1 to 134,125,824 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 134125824 cubic inches would be around 42.7 feet tall.
Recreational maths with 134125824
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